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Finding the Fourth Proportional to 98,798.16, 136,328.76 and 56,354.16

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Solution

The fourth proportional to 98,798.16, 136,328.76 and 56,354.16 is: 77,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,798.16 : 136,328.76 = 56,354.16 : x
  2. Step 2: Convert to fraction form
    98,798.16/136,328.76 = 56,354.16/x
  3. Step 3: Cross multiply
    98,798.16x = 136,328.76 × 56,354.16
  4. Step 4: Simplify right side
    98,798.16x = 7,682,692,753.64
  5. Step 5: Solve for x
    x = 7,682,692,753.64/98,798.16
  6. Step 6: Final answer
    x = 77,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.